Write an equation for a line that is perpendicular to y = -4x + 2 and passes through the point (-8, 5).
Answer:
y=1/4x + 7
Step-by-step explanation:
To find the perpendicular equation of an equation, you need to find the reciprocal of the slope (reciprocal is the opposite fraction and it's opposite sign (negative or positive)). Then you use both points in the point slope form. y-y1=m(x-x1), y-5=m(x--8), subtracting -8 from x is the same as +8, so the equation becomes y-5=m(x+8), m is the slope and our new slope is 1/4 (the reciprocal of -4x). Now your equation is y-5=1/4(x+8). All you have to do now is solve. first you multiply 1/4 by x and 8 to get rid of the parenthesis. so the equation is now y-5=1/4x+2. Now you move the 5 to the other side, so it becomes a +5 instead of -5, and you add it to 2. now the equation is y=1/4x+7.
Triangle ABC is given by the points A(−1, 5), B(0, 3), and C(2, 4). It is reflected over the line y = −2x − 2. Does the image contain each of the points? Select Yes or No for A-C.
1. A' (-5,3) Yes or No
2. B' (-4,6) Yes or No
3. C' (-6,0) Yes or No
Please help!
Answer:
1.A'(-53) yes
2. yes
3 no
construct a 45-45-90 degree triangle with leg equal to AB
The required 45-45-90 degree triangle is shown, where each of the two acute angles is 45 degrees and the length of the hypotenuse is equal to the length of each leg multiplied by the square root of 2.
What is the right-angle triangle?A right-angled triangle, also known as a right triangle, is a triangle in which one of its interior angles measures exactly 90 degrees. The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.
Here,
o construct a 45-45-90 degree triangle with leg AB, we can follow these steps:
The resulting triangle will have sides AB, BC, and AC, where AB and BC are equal in length and AC is the hypotenuse.
Learn more about right-angle triangles here:
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Online, Terrell found a soup recipe that requires 1/4 of a teaspoon of pepper for every 1/2 of a teaspoon of dried basil. For a big event, Terrell wants to make a huge pot of soup. If he uses 1 teaspoon of dried basil, how much pepper should he use?
Answer:
He should use 1/2 of a teaspoon of pepper.
Step-by-step explanation:
From the question, the soup recipe requires 1/4 of a teaspoon of pepper for every 1/2 of a teaspoon of dried basil.
Now, to determine how much pepper Terrell should use if he uses 1 teaspoon of dried basil for the huge pot of soup,
Let the quantity be x
If 1/4 of a teaspoon of pepper requires 1/2 of a teaspoon of dried basil,
then, x teaspoon of pepper will require 1 teaspoon of dried basil
x = (1/4 × 1) ÷ (1/2)
x = 1/4 ÷ 1/2
x = 1/4 × 2/1
x = 2/4
x = 1/2
∴ 1/2 of a teaspoon of pepper is required for 1 teaspoon of dried basil.
Hence, he should use 1/2 of a teaspoon of pepper.
Question 4 Multiple Choice Worth 1 points)
(04.02 LC)
What is the solution to the following system of equations?
X - 3y = 5
2x + y = 10
(5,0)
(0,5)
(7,0)
(0,7)
Answer:
( 5, 0 )Step-by-step explanation:
x - 3y = 5
2x + y = 10 multiply by 3 to eliminate y and solve for x
x - 3y = 5
6x + 3y = 30 then add
7x = 35
simplify:
x = 35 / 7
x = 5
substitute x = 5 back into the eq.2
2x + y = 10
2(5) + y = 10
y = 10 - 10
y = 0
therefore the answer is ( 5, 0 )
Solve for x.
12x − 6 = − ( 18x + 11 )
A. 6
B. -6
C. 1/6
D. -1/6
Answer:
D
Step-by-step explanation:
12x - 6 = -18x - 11
12x + 18x = -11 + 6
30x = -5
x = -1/6
The number of students in a chess club decreased from 40 to 19. What is the percent decrease? Round your answer to the nearest percent.
The percent decrease is
%.
A purse contains a collection of quarters, dimes, nickels, and pennies. The average value of the coins in the purse is 17 cents. If a penny is removed from the purse, the average value of the coins becomes 18 cents. How many nickels are in the purse?
Answer:
There are total of 17 coins in the purse
Step-by-step explanation:
Let x represent the no of coins in the purse
Let y represent the total amount
y/x = 0.17
y = 0.17*x............................(i)
y-0.01 / x-1 = 0.18
y - 0.01 = 0.18x -0.18........(ii)
We substitute y = 0.17 x into the second equation:
0.17x - 0.01 = 0.18x - 0.18
0.17 = 0.01x
x = 17
Hence, there are total of 17 coins in the purse
The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584; "5" /"8" of them are seventh graders and "3" /"8" of them are eighth graders. If "4" /"5" of the seventh graders participated in track-and-field day and "7" /"8" of the eighth graders participated, about how many total students participated? Describe the process you used to find your answer.
Given that, the total number of students in seventh and eighth grade combined is 584.
The number of students in seventh grade= 5/8 of the total number of students.
[tex]=\frac 5 8 \times 584=365[/tex]
As 4/5 of the total seventh-grade students participated in the track-and-field-event.
So, the number of seventh-grade students participated
[tex]= \frac 4 5 \times 365=292[/tex]
The number of students in the eighth grade 3/8 of the total number of students.
[tex]=\frac 3 8 \times 584=219[/tex]
As 7/8 of the total eighth-grade students participated in the track-and-field-event.
So, the number of seventh-grade students participated
[tex]= \frac78 \times 219=191.625.[/tex]
The number of students must be a counting number, but here, as per the given information, the number of seventh-grade students participated coming out a fractional number, so the given information is incorrect.
Although, as per the given data, the mathematical value of the total number of students participated from both the grade combined
=292+191.625
=483.625 (mathematically)
Again, in real life, the fractional value of the total number of students is not possible.
Answer:
Given that, the total number of students in seventh and eighth grade combined is 584.
Step-by-step explanation:
TARGET TAS
The average American household spends about $40,000 each year. If there are about 1 x 10 households, what is the
total amount of money spent by American households in one year? Write your answer in scientific notation and
standard form.
help me pleaseeeeeeeo
Answer: x=-2
Step-by-step explanation:
First subtract 4 from both sides
Sqrt(x+3)=1
Then square both sides
X+3=1
Then subtract 3
X=-2
Hope this helps!
Answer:
mmm x = -2 and put -2 over the square root on your calculator
Step-by-step explanation:
I hope this is right lol
Please help me i need help with this please give me the answer
Part A:
$8.00+(r⋅$1.40)
Part B:
($26.00-($8.00)÷$1.40)=5
He can go on 5 rides.
sing the expression x + 3, write one equation that has one solution, one equation that has no solution, and one equation that has infinitely many solutions. Explain
Answer: one solution x + 3 = 5 x = 2 no other other value for x is possible
No solution: (x + 3) = 2(x +3)
Infinitely many solutions: x+3 = 3 + x
Step-by-step explanation:
why (x + 3) = 2(x +3) has no solution. Can you solve?
x+3=2x+6 -x=3 x=-3 substute -3 for x
(-3)+ 3)= 2[(-3) +3]
-3+3 = -6 +3
0 = -3 False!
x+3 = 3 + x has infinitely many solutions. Substitute any number for x, and the equation is true (5)+3=3+(5) 8=8 . 11111+3 =3+11111 11114=11114
An equation can either have: one solution, no solution, or infinitely many solutions. Some equations that can be derived from [tex]x + 3[/tex] and their solution type are:
[tex]x + 3 = 2x[/tex] has one solution[tex]x + 3 = x[/tex] has no solution[tex]x + 3 = 2(0.5x + 1.5)[/tex] has one solutionGiven that:
[tex]Expression = x + 3[/tex]
Equation with one solution
For an equation to have one solution. then the equation is consistent and dependent.
For instance:
[tex]x + 3 = 2x[/tex]
Collect like terms to solve for x
[tex]2x -x = 3[/tex]
[tex]x =3[/tex]
This means that [tex]x =3[/tex] is the only solution to [tex]x + 3 = 2x[/tex].
Hence, [tex]x + 3 = 2x[/tex] has one solution
Equation with no solution
For an equation to have no solution. then both sides of the equation are not equal
For instance:
[tex]x + 3 = x[/tex]
Collect like terms to solve for x
[tex]x- x = 3[/tex]
[tex]0 = 3[/tex]
Because 0 is not equal to 3, then [tex]x + 3 = x[/tex] has no solution
Equation with infinitely many solutions
For an equation to have infinitely many solutions. then both sides of the equation must be the same thing
For instance:
[tex]x + 3 = 2(0.5x + 1.5)[/tex]
Open the bracket
[tex]x + 3 = x + 3[/tex]
Collect like terms
[tex]x - x = 3 - 3[/tex]
[tex]0 = 0[/tex]
Because both sides are the same (i.e. 0), then [tex]x + 3 = 2(0.5x + 1.5)[/tex] has infinitely many solutions
Read more about equation solutions at:
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Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate?
–250
–240
240
250
Answer:
it is a becouase if you estimate (–25.31) to -25 and 9.61 to 10 / 25x10 would be 250 since -25.31 was negative it would be option A or -250
Step-by-step explanation:
∵Brainliest for the first right answer ∵
Answer:
D. 0.42 divided by 7
Hope this helps! Please mark Brainliest!
Answer:
D. is correct
Step-by-step explanation:
I took the test
the us air force has 19 women for every 81 men enlisted.what is the ratio of men to women
Answer: 81 to 19
Step-by-step explanation:
Which ratio is different from the others? > 8 to 15 ,15:8 ,8:15 8/15
Please Help, thank you :)
Answer:
p=-13
-13+16=3
"If x = y, then x + 4 = y + 4" represents the
property of equality.
OA) substitution
B) subtraction
C) addition
D) transitive
Answer:
C
Step-by-step explanation:
Look in your old textbooks
A scientist receives a grant for $8,860,000. The
laboratory needs $12,000,000 for new renovations. How
much more money does the laboratory need for new
renovations? Write your answer in scientific notation.
Someone please help I need help!
Answer:
3140000
Step-by-step explanation:
12,000,000 - 8860000
Numbers that cannot be written as a ratio of two integers; decimals that are non-ending and non-repeating. EX: pi
a. Rational Numbers
b. Algebraic term
c. irrational numbers
d. Algebraic expression
Tommy is travel to see his aunt. He drives for 40 minutes for 1280 miles, how fast was Tommy driving?
Answer:
1280/40=32
Step-by-step explanation:
Answer:
speed = 32 miles per hour
= 32 mi/h
Jack's family left home at 9:00 AM and drove to the amusement park at 60 mph. They spent 7 hours at the park and then drove back home. On the way home, traffic was bad and they drove 20 mph slower than in the morning. They got home at 8:00 PM. How far is the amusement park from Jack's home?
Answer:
96
Step-by-step
the distance from the amusement to jack's home is x (mile, x>0)
jack's family went to the amusement park at: 9 + x/60
On the way home, traffic was bad and they drove 20 mph slower than in the morning⇒ they drove: 60 - 20 = 40 mph
they left the amusement park at: 20 - x/40
have the following equation:
(20 - x/40) - (9+ x/60) = 7
⇔ 4 = x/40 + x/60
⇔ x = 96
so the distance from the amusement park to jack's home is 96 mile
Distance of amusement park from Jack's home = 96 miles
Let the distance from Jackie's house to the amusement park be x.She drove at a speed of 60 mph to get to the amusement park.
Now, formula for time is;Time = distance/speed
Time; t1 = x/60 hours
Now, we are told she spent 7 hours at the park. Thus; t2 = 7 hoursOn her way back home from school, we are told she drove 20 mph slower than her speed in the morning. Thus, speed = 60 - 20 = 40 mphThus; time; t3 = x/40
Now, she left home by 9 am and got home by 8pm same day. This is a total of t = 11 hoursThus;
t1 + t2 + t3 = 11
Plugging in the relevant values;
(x/60) + 7 + (x/40) = 11
Rearrange to get;
(x/60) + (x/40) = 11 - 7
(x/60) + (x/40) = 4
Multiply through by 120 to get
2x + 3x = 480
5x = 480
x = 480/5
x = 96 miles
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Which expression could be used to determain the cost of a $40 video game aftera 15 percent discount
Answer:
$34
Step-by-step explanation:
40*.15
=6
40-6
=34
A new student at Malden High School started the year with 2 friends . This number doubles every week.
Answer:
Thats not a proper question
Step-by-step explanation:
what is the answer to 10 x 102
Answer: 1,020
Step-by-step explanation:
The composition of transformations always results in the lengths of segments of the pre-image and image remaining equal. (True or False)
Answer:
False.
Step-by-step explanation:
In translation, rotation and reflections there is no size change but in dilation the size of the pre-image changes.
So, it is false.
Two trains traveling the same speed leave the city. The southbound train reaches its destination in 45 minutes. The eastbound train reaches its destination in one hour. how fast were the trains traveling if their destinations are 88 miles apart.
Answer:
70.4 mphStep-by-step explanation:
Let the speed be x mph
The distances are
45/60x= 3/4x and xThe line connecting the two destinations is the hypotenuse of the right triangle with legs of 3/4x and x, which is 88 miles
Then we can put it as expression and solve for x:
(3/4x)² + x² = 88²9/16x² + x² = 88²25/16x² = 88²25x² = 4²*88²(5x)² = 352²5x = 352x = 352/5x = 70.4 mphchoose all the numbers that are factors of 16
A. 2
B. 16
C. 3
D. 4
E. 8
F. 12
G. 6
H. 5
I. 10
J. 1
Can someone answer this what do I put
Answer:
Where is the screenshot... I have to much free time
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